Special Issue in honor of Alan C. Lazer. Electron. J. Diff. Eqns., Special Issue 01 (2021), pp. 13-21.

Oscillation time and damping coefficients in a nonlinear pendulum

Jaime Arango

Abstract:
We establish a relationship between the normalized damping coefficients and the time that takes a nonlinear pendulum to complete one oscillation starting from an initial position with no velocity. We provide sufficient conditions on the nonlinear restitution force so that this oscillation time does not depend monotonically on the viscosity damping coefficient.

Published October 6, 2021.
Math Subject Classifications: 34C15, 34C25
Key Words: Oscillation time; damped oscillation.
DOI: https://doi.org/10.58997/ejde.sp.01.a2

Show me the PDF file (446 K), TEX file for this article.

Jaime Arango
Departmento de Mathemáticas
Universidad del Valle
Cali 76001, Colombia
email: jaime.arango@correounivalle.edu.co

Return to the table of contents for this special lissue.
Return to the EJDE web page